Phase diagram of the half-filled one-dimensional t-V-V' model

TL;DR

This paper maps out the phase diagram of a one-dimensional spinless fermion model with competing interactions, revealing four distinct phases through advanced numerical methods.

Contribution

It provides a detailed phase diagram of the half-filled 1D t-V-V' model using DMRG, highlighting the interplay of interactions and hopping.

Findings

Identified four phases: two charge-density-wave insulators, a Luttinger liquid, and a bond-order phase.

Used finite-size scaling of gaps and structure factors to accurately determine phase boundaries.

Demonstrated the complex competition between interactions and hopping in 1D fermionic systems.

Abstract

We study the phase diagram of spinless fermions with nearest and next-nearest-neighbor interactions in one dimension utilizing the (finite-size) density-matrix renormalization group (DMRG) method. The competition between nearest and next-nearest-neighbor interactions and nearest-neighbor hopping generates four phases in this model: two charge-density-wave insulators, a Luttinger liquid phase, and a bond-order phase. We use finite-size scaling of the gap and various structure factors to determine the phase diagram.